Hey there! I'm happy to help!
We have 24 total beads, and we have 6 red ones. This gives us a probability of 6/24, which simplifies to 1/4. However, we do this twice with replacement (we put the bead back, so the probability stays the same), so we multiply that probability twice to find the probability of it happening twice.
1/4×1/4=1/16
Therefore, the probability that both beads are red is 1/16.
Have a wonderful day! :D